I think your idea of treating bitcoin as a company might have been an interesting exercise, but it is not very useful because it doesn't provide any new insight. In fact, it has lead you to a false conclusion.
... Bitcoin employs a highly unprofitable and a non-sustainable business model where the company pays more in fees than it brings in as income. It is however possible to produce a virtual company which is designed to be profitable for shareholders. Such a company would reduce its share issuance ...
Bitcoin is sustainable. Bitcoin
is reducing its share issuance. Income will equal expenses and Bitcoin will no longer be unprofitable when the block reward is reduced to 0.
In my opinion, the fact that income always exactly equals expenses (at some point) and that there are no assets or liabilities make treating Bitcoin as a company moot.